二维位势问题等几何边界元法对高斯正交的敏感性

IF 0.6 4区工程技术 Q4 MECHANICS

Journal of Theoretical and Applied Mechanics Pub Date : 2023-07-03 DOI:10.15632/jtam-pl/166466

A. Alia, Hasna Ben Said

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引用次数: 0

摘要

等几何分析(IGA)被广泛使用，因为它将精确几何与分析联系起来。在边界元框架(IGBEM)内应用IGA，在一定的边界条件下，可以抑制离散化误差，从而准确估计积分误差。利用IGBEM求解潜在问题，研究了在恒定边界条件下，高斯正交对IGBEM中各项精度的影响。结果表明，在IGBEM中计算奇异积分的方法是有效的。通过为两个积分选择最优的高斯点个数，可以改善结果。

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Sensitivity to Gauss quadrature of isogeometric boundary element method for 2D potential problems

IsoGeometric Analysis (IGA) is widely used because it links exact geometry to analysis. When IGA is applied within the Boundary Element framework (IGBEM), and under certain boundary conditions, discretization errors can be suppressed leading to an accurate estimation of the integration errors. By using the IGBEM for potential problems, the effect of Gauss quadrature on the accuracy of each term arising in the IGBEM is studied for smooth geometry under constant boundary conditions. The results show that the method of computing singular integrals in the IGBEM is eﬃcient. Results can be improved by selecting optimal numbers of Gauss points for both integrals.

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来源期刊

Journal of Theoretical and Applied Mechanics 物理-力学

CiteScore

1.40

自引率

14.30%

发文量

审稿时长

6 months

期刊介绍： The scope of JTAM contains: - solid mechanics - fluid mechanics - fluid structures interactions - stability and vibrations systems - robotic and control systems - mechanics of materials - dynamics of machines, vehicles and flying structures - inteligent systems - nanomechanics - biomechanics - computational mechanics